Sports Scores Hot Line receives, on the average, 8 calls per hour requesting the latest sports scores. The distribution is Poisson in nature. For any randomly selected hour, find the probability that the company will receive a. At least 8 calls P(at least)

0.54704  is the probability that the company will receive atleast 8 calls.

Step-by-step explanation:

We are given the following information in the question:

Mean number of calls = 8 calls per hour

The distribution of calls Hot Line receives can be treated as a Poisson distribution.

We have to find the probability that the company will receive at least 8 calls

Formula:

P(atleast 8) =

Thus, 0.54704  is the probability that the company will receive atleast 8 calls.

351°f

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form